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BEIJING — After all the difficult twists Lolo
Jones’s life had already taken, the last two hurdles in the Olympic f=
inal
Tuesday night seemed like flimsy barriers to overcome. Jones, whose itinera=
nt
childhood included a stretch when her family was homeless, seemed so close =
to a
triumphant moment, leading the 100-meter hurdles with two =
of
them to go.

But the hurdles can be a cru=
el
event, and when Jones’s foot hit the ninth hurdle, it threw off her
stride and allowed six other women in the race to power past her. In a frac=
tion
of a second, she went from what looked like sure victory to sheer agony. Da=
wn
Harper, Jones’s teammate, grabbed the gold with a personal-best time of 12.54 seconds=
.

Preliminary: 1 met=
er =3D
3.281 ft ,V1 is larger than V2 since the hurdler gained=
a
some potential energy in rising

1 foot to =
clear
the hurdle.(a) Using kinemat=
ics(x
=3D Vave t)find t=
he
average speed of the hurdler in ft/s? (b)&=
nbsp;
Using

Energy con=
servation
ideas(energy at bottom[1] =3D energy at top point in going over hurdle[2]) =
and
kinematics